GLOBAL WEAK SOLUTIONS TO ONE-DIMENSIONAL COMPRESSIBLE VISCOUS HYDRODYNAMIC EQUATIONS

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摘要 Inthisarticle,weareconcernedwiththeglobalweaksolutionstothe1Dcompressibleviscoushydrodynamicequationswithdispersioncorrectionδ~2ρ((φ(ρ))xxφ′(ρ))xwithφ(ρ)=ρα.ThemodelconsistsofviscousstabilizationsbecauseofquantumFokker-PlanckoperatorintheWignerequationandissupplementedwithperiodicboundaryandinitialconditions.Thediffusiontermεuxxinthemomentumequationmaybeinterpretedasaclassicalconservativefrictiontermbecauseofparticleinteractions.Weextendtheexistenceresultin[1](α=1/2)to0<α≤1.Inaddition,weperformthelimitε→0withrespectto0<α≤1/2.
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出版日期 2017年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)